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Finding the Third Proportional to 9,824,111,576 and 21,369,509,074

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Solution

The third proportional to 9,824,111,576 and 21,369,509,074 is: 46,483,177,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824,111,576 : 21,369,509,074 = 21,369,509,074 : x
  2. Step 2: Convert to fraction form
    9,824,111,576/21,369,509,074 = 21,369,509,074/x
  3. Step 3: Cross multiply
    9,824,111,576x = 21,369,509,074 × 21,369,509,074
  4. Step 4: Simplify right side
    9,824,111,576x = 456,655,918,063,768,305,664
  5. Step 5: Solve for x
    x = 456,655,918,063,768,305,664/9,824,111,576
  6. Step 6: Final answer
    x = 46,483,177,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.